A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
how do you solve 16^(3/4) without a calculator?
anonymous
 4 years ago
how do you solve 16^(3/4) without a calculator?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0split the powers and then do individually

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what do you mean by split the powers?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no, im lost where 3 is multiplyed by 6 and then the ^1/4 part

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok i explain in steps

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1(3) means \[\frac{1}{16^3}\] and (1/4) means \[\sqrt[4]{16}\] right? So, since you're doing both to the 16... it can be written as \[\frac{1}{\sqrt[4]{16^3}}\] or \[\frac{1}{\sqrt[4]{16}^3}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that makes sense so far

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Now, one looks much more easy to solve than the other, even though they are the same thing.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the power is 3/4 base is 16 now 16^3 . 16^1/4=1/(16)^3.\[\sqrt[4]{16}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how does \[\sqrt[4]{16^3}\] turn into 8?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know the answer is 1/8

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1I would look at it the other way  just to avoid that huge number \[16^3\].

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{\sqrt[4]{16}^3}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1So it's like \[\frac{1}{(\sqrt[4]{16})^3}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1And what is \[\sqrt[4]{16}\]?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry, i was afk for a while

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Understood! Thank you! And you're welcome!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.